A PROPOSAL FOR REGULARIZED INVERSION FOR AN ILL-CONDITIONED DECONVOLUTION OPERATOR
From the inverse problem theory aspect, deconvolution can be understood as the linear inversion of an ill-posed and ill-conditioned problem. The ill-conditioned property of the deconvolution operator make the solution of inverse problem sensitive to ...
Herling Gonzalez +2 more
doaj
Accelerating Ground‐Based Aerosol Retrieval From Shortwave Radiation Using Tabular Foundation Models
Abstract Retrieving aerosol optical properties from broadband surface solar radiation measurements presents a challenging inverse problem that has yet to be fully explored. This study presents a novel framework using optimal estimation (OE) to retrieve aerosol optical depth (AOD) and Ångström exponent, which subsequently serve as regression targets for
Dazhi Yang +6 more
wiley +1 more source
A [3]Rotaxane Containing {Ti7Ga} Rings Linking CuII: Synthesis, Structure, and Spectroscopic Studies
Extended hybrid inorganic‐organic [2]‐ and [3]‐rotaxanes are reported based on heterometallic rings with threads that link CuII complexes; the crystal structures are reported, and the solution behavior is investigated by double electron electron resonance spectroscopy methods.
Selena J. Lockyer +7 more
wiley +1 more source
Wavelength and Polarization Multiplexed Nonlocal Metasurface for Quantitative Phase Microscopy
A nonlocal metasurface with wavelength and polarization multiplexed optical transfer functions is demonstrated for performing quantitative phase imaging. The metasurface uses the angular dispersion of optical routing guided mode resonances to extract phase gradient information along different directions for phase retrieval. ABSTRACT Imaging transparent
Haiwei Wang +8 more
wiley +1 more source
On a Level-Set Method for Ill-Posed Problems with Piecewise Nonconstant Coefficients
We investigate a level-set-type method for solving ill-posed problems, with the assumption that the solutions are piecewise, but not necessarily constant functions with unknown level sets and unknown level values.
A. De Cezaro
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Low-Rank Tensor Ring Alternating Least Squares With Tikhonov Regularization for Image Completion
Tensor decomposition has become an important technology for recovering missing information in high-dimensional image and video data. Alternatively, spatial regularization has been incorporated into tensor models such as Tucker, tensor train (TT), and ...
Jung-Chun Chi +2 more
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Finite element method for solving nonlinear inverse diffusion problem
In this paper, a numerical method based on the finite element method and the least square scheme with the Tikhonov regularization method for nonlinear inverse diffusion problem is presented.
Hamed Zeidabadi +2 more
doaj
This research studies the inverse boundary value problem for fractional elliptic equation of Tricomi–Gellerstedt–Keldysh type and obtains a condition stability result.
Xiao Zhang
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Approximate controllability of a semilinear delayed heat equation Tikhonov regularization
In this work, we study approximate controllability of a semilinear heat equation with delay using the Tikhonov regularization. The considered problem for partial differential equation is transformed into an equivalent operator equation.
S. Kumar
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The Application of Piecewise Regularization Reconstruction to the Calibration of Strain Beams
Standard beams are mainly used for the calibration of strain sensors using their load reconstruction models. However, as an ill-posed inverse problem, the solution to these models often fails to converge, especially when dealing with dynamic loads of ...
Jingjing Liu +7 more
doaj +1 more source

